Resumen de Disjointness preserving mappings on BSE Ditkin algebras
Let A and B be regular Banach function algebras. A linear map T de ned from A into B is said to be disjointness preserving or separating if f g 0 implies T(f) T(g) 0 for all f; g 2 A. We prove that if there exists a disjointness preserving bijection between two BSE Ditkin algebras with a BAI or if they are (supremum norm) isometric, then they are isomorphic as algebras.
